{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T01:09:37Z","timestamp":1742951377135,"version":"3.40.3"},"publisher-location":"Cham","reference-count":39,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030584740"},{"type":"electronic","value":"9783030584757"}],"license":[{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,1,1]],"date-time":"2020-01-01T00:00:00Z","timestamp":1577836800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020]]},"DOI":"10.1007\/978-3-030-58475-7_32","type":"book-chapter","created":{"date-parts":[[2020,9,6]],"date-time":"2020-09-06T20:02:35Z","timestamp":1599422555000},"page":"548-565","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Towards a Generic Interval Solver for Differential-Algebraic CSP"],"prefix":"10.1007","author":[{"given":"Simon","family":"Rohou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abderahmane","family":"Bedouhene","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gilles","family":"Chabert","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Alexandre","family":"Goldsztejn","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luc","family":"Jaulin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bertrand","family":"Neveu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Victor","family":"Reyes","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gilles","family":"Trombettoni","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,9,2]]},"reference":[{"key":"32_CR1","unstructured":"Benhamou, F., Goualard, F., Granvilliers, L., Puget, J.-F.: Revising hull and box consistency. In: Proceedings of International Conference on Logic Programming (ICLP), pp. 230\u2013244 (1999)"},{"key":"32_CR2","unstructured":"Chabert, G.: IBEX - an Interval-Based EXplorer (2020). http:\/\/www.ibex-lib.org\/"},{"key":"32_CR3","doi-asserted-by":"publisher","first-page":"1079","DOI":"10.1016\/j.artint.2009.03.002","volume":"173","author":"G Chabert","year":"2009","unstructured":"Chabert, G., Jaulin, L.: Contractor programming. Artif. Intell. 173, 1079\u20131100 (2009)","journal-title":"Artif. Intell."},{"key":"32_CR4","unstructured":"Chapoutot, A., Alexandre dit Sandretto, J., Mullier, O.: Dynibex (2015). http:\/\/perso.ensta-paristech.fr\/~chapoutot\/dynibex\/"},{"issue":"3","key":"32_CR5","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1023\/A:1009922003700","volume":"5","author":"H Collavizza","year":"1999","unstructured":"Collavizza, H., Delobel, F., Rueher, M.: Comparing partial consistencies. Reliable Comput. 5(3), 213\u2013228 (1999)","journal-title":"Reliable Comput."},{"key":"32_CR6","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"259","DOI":"10.1007\/978-3-540-45193-8_18","volume-title":"Principles and Practice of Constraint Programming \u2013 CP 2003","author":"J Cruz","year":"2003","unstructured":"Cruz, J., Barahona, P.: Constraint satisfaction differential problems. In: Rossi, F. (ed.) CP 2003. LNCS, vol. 2833, pp. 259\u2013273. Springer, Heidelberg (2003). https:\/\/doi.org\/10.1007\/978-3-540-45193-8_18"},{"issue":"1","key":"32_CR7","doi-asserted-by":"publisher","first-page":"140","DOI":"10.1002\/anac.200310012","volume":"1","author":"J Cruz","year":"2004","unstructured":"Cruz, J., Barahona, P.: Constraint reasoning with differential equations. Appl. Numer. Anal. Comput. Math. 1(1), 140\u2013154 (2004)","journal-title":"Appl. Numer. Anal. Comput. Math."},{"key":"32_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"162","DOI":"10.1007\/3-540-49481-2_13","volume-title":"Principles and Practice of Constraint Programming \u2014 CP98","author":"Y Deville","year":"1998","unstructured":"Deville, Y., Janssen, M., Van Hentenryck, P.: Consistency techniques in ordinary differential equations. In: Maher, M., Puget, J.-F. (eds.) CP 1998. LNCS, vol. 1520, pp. 162\u2013176. Springer, Heidelberg (1998). https:\/\/doi.org\/10.1007\/3-540-49481-2_13"},{"key":"32_CR9","doi-asserted-by":"publisher","first-page":"727","DOI":"10.1080\/10556780902917701","volume":"24","author":"F Domes","year":"2009","unstructured":"Domes, F.: GLOPTLAB: a configurable framework for the rigorous global solution of quadratic constraint satisfaction problems. Optim. Methods Softw. 24, 727\u2013747 (2009)","journal-title":"Optim. Methods Softw."},{"key":"32_CR10","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/978-1-4757-9545-5_14","volume-title":"Bounding Approaches to System Identification","author":"TF Filippova","year":"1996","unstructured":"Filippova, T.F., Kurzhanski, A.B., Sugimoto, K., V\u00e1lyi, I.: Ellipsoidal state estimation for uncertain dynamical systems. In: Milanese, M., Norton, J., Piet-Lahanier, H., Walter, \u00c9. (eds.) Bounding Approaches to System Identification, pp. 213\u2013238. Springer, Boston (1996). https:\/\/doi.org\/10.1007\/978-1-4757-9545-5_14"},{"key":"32_CR11","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"221","DOI":"10.1007\/978-3-642-15396-9_20","volume-title":"Principles and Practice of Constraint Programming \u2013 CP 2010","author":"A Goldsztejn","year":"2010","unstructured":"Goldsztejn, A., Mullier, O., Eveillard, D., Hosobe, H.: Including ordinary differential equations based constraints in the standard CP framework. In: Cohen, D. (ed.) CP 2010. LNCS, vol. 6308, pp. 221\u2013235. Springer, Heidelberg (2010). https:\/\/doi.org\/10.1007\/978-3-642-15396-9_20"},{"key":"32_CR12","doi-asserted-by":"publisher","first-page":"82","DOI":"10.2307\/2002181","volume":"10","author":"TR Goodman","year":"1956","unstructured":"Goodman, T.R., Lance, G.N.: The numerical solution of two-point boundary value problems. Math. Tables Other Aids Comput. 10, 82\u201386 (1956)","journal-title":"Math. Tables Other Aids Comput."},{"key":"32_CR13","doi-asserted-by":"publisher","first-page":"138","DOI":"10.1145\/1132973.1132980","volume":"32","author":"L Granvilliers","year":"2006","unstructured":"Granvilliers, L., Benhamou, F.: RealPaver: an interval solver using constraint satisfaction techniques. ACM Trans. Math. Softw. - TOMS 32, 138\u2013156 (2006)","journal-title":"ACM Trans. Math. Softw. - TOMS"},{"key":"32_CR14","volume-title":"Global Optimization using Interval Analysis","author":"ER Hansen","year":"1992","unstructured":"Hansen, E.R.: Global Optimization using Interval Analysis. Marcel Dekker, New York (1992)"},{"key":"32_CR15","doi-asserted-by":"publisher","first-page":"1079","DOI":"10.1016\/S0005-1098(01)00284-9","volume":"38","author":"L Jaulin","year":"2002","unstructured":"Jaulin, L.: Nonlinear bounded-error state estimation of continuous-time systems. Automatica 38, 1079\u20131082 (2002)","journal-title":"Automatica"},{"issue":"4","key":"32_CR16","doi-asserted-by":"publisher","first-page":"557","DOI":"10.1007\/s10601-015-9231-9","volume":"21","author":"L Jaulin","year":"2016","unstructured":"Jaulin, L.: Range-only SLAM with indistinguishable landmarks: a constraint programming approach. Constraints 21(4), 557\u2013576 (2016)","journal-title":"Constraints"},{"key":"32_CR17","first-page":"102","volume":"5","author":"RE Kalman","year":"1960","unstructured":"Kalman, R.E.: Contributions to the theory of optimal control. Bol. Soc. Mat. Mex. 5, 102\u2013119 (1960)","journal-title":"Bol. Soc. Mat. Mex."},{"key":"32_CR18","unstructured":"Kapela, T., Mrozek, M., Pilarczyk, P., Wilczak, D., Zgliczynski, P.: CAPD - a rigorous toolbox for computer assisted proofs in dynamics (2010). http:\/\/capd.ii.uj.edu.pl\/"},{"key":"32_CR19","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"17","DOI":"10.1007\/978-3-540-39901-8_2","volume-title":"Global Optimization and Constraint Satisfaction","author":"RB Kearfott","year":"2003","unstructured":"Kearfott, R.B.: GlobSol: history, composition, and advice on use. In: Bliek, C., Jermann, C., Neumaier, A. (eds.) COCOS 2002. LNCS, vol. 2861, pp. 17\u201331. Springer, Heidelberg (2003). https:\/\/doi.org\/10.1007\/978-3-540-39901-8_2"},{"key":"32_CR20","doi-asserted-by":"publisher","unstructured":"Kurzhanski, A.B., Filippova, T.F.: On the theory of trajectory tubes - a mathematical formalism for uncertain dynamics, viability and control. In: Kurzhanski, A.B. (eds.) Advances in Nonlinear Dynamics and Control: A Report from Russia, pp. 122\u2013188, Birkh\u00e4user, Boston (1993). https:\/\/doi.org\/10.1007\/978-1-4612-0349-0_4","DOI":"10.1007\/978-1-4612-0349-0_4"},{"issue":"2","key":"32_CR21","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1016\/j.automatica.2011.11.004","volume":"48","author":"F Le Bars","year":"2012","unstructured":"Le Bars, F., Sliwka, J., Jaulin, L., Reynet, O.: Set-membership state estimation with fleeting data. Automatica 48(2), 381\u2013387 (2012)","journal-title":"Automatica"},{"key":"32_CR22","unstructured":"Lhomme, O.: Consistency techniques for numeric CSPs. In: IJCAI, pp. 232\u2013238 (1993)"},{"key":"32_CR23","first-page":"255","volume-title":"Computer Arithmetic: Scientific Computation and Programming Languages","author":"R Lohner","year":"1987","unstructured":"Lohner, R.: Enclosing the solutions of ordinary initial and boundary value problems. In: Kaucher, E., Kulisch, U., Ullrich, Ch. (eds.) Computer Arithmetic: Scientific Computation and Programming Languages, pp. 255\u2013286. BG Teubner, Stuttgart (1987)"},{"issue":"2","key":"32_CR24","doi-asserted-by":"publisher","first-page":"387","DOI":"10.7494\/OpMath.2014.34.2.387","volume":"34","author":"F Mazzia","year":"2014","unstructured":"Mazzia, F., Cash, J.R., Soetaert, K.: Solving boundary value problems in the open source software R: package bvpSolve. Opuscula Math. 34(2), 387\u2013403 (2014)","journal-title":"Opuscula Math."},{"key":"32_CR25","unstructured":"Messine, F.: M\u00e9thodes d\u2019optimisation globale bas\u00e9es sur l\u2019analyse d\u2019intervalle pour la r\u00e9solution des probl\u00e8mes avec contraintes. Ph.D. thesis, LIMA-IRIT-ENSEEIHT-INPT, Toulouse (1997)"},{"key":"32_CR26","volume-title":"Interval Analysis","author":"RE Moore","year":"1966","unstructured":"Moore, R.E.: Interval Analysis, vol. 4. Prentice-Hall, Englewood Cliffs (1966)"},{"issue":"1","key":"32_CR27","first-page":"21","volume":"105","author":"N Nedialkov","year":"1999","unstructured":"Nedialkov, N., Jackson, K., Corliss, G.: Validated solutions of initial value problem for ordinary differential equations. Appl. Math. Appl. 105(1), 21\u201368 (1999)","journal-title":"Appl. Math. Appl."},{"key":"32_CR28","unstructured":"Nedialkov, N.S.: VNODE-LP, a validated solver for initial value problems in ordinary differential equations. Technical report CAS-06-06-NN, Department of Computing and Software, McMaster University, Hamilton, Ontario, Canada (2006)"},{"key":"32_CR29","unstructured":"Prud\u2019homme, C., Fages, J.-G., Lorca, X.: Choco documentation (2014). http:\/\/www.choco-solver.org"},{"key":"32_CR30","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1016\/j.jlap.2004.07.008","volume":"64","author":"N Revol","year":"2005","unstructured":"Revol, N., Makino, K., Berz, M.: Taylor models and floating-point arithmetic: proof that arithmetic operations are validated in COSY. J. Logic Algebraic Program. 64, 135\u2013154 (2005)","journal-title":"J. Logic Algebraic Program."},{"key":"32_CR31","doi-asserted-by":"crossref","unstructured":"Rohou, S., Desrochers, B., Jaulin, L.: Set-membership state estimation by solving data association. In IEEE International Conference on Robotics and Automation (2020)","DOI":"10.1109\/ICRA40945.2020.9197039"},{"key":"32_CR32","unstructured":"Rohou, S., et al.: The Tubex library - Constraint-programming for robotics (2020). http:\/\/simon-rohou.fr\/research\/tubex-lib\/"},{"key":"32_CR33","doi-asserted-by":"publisher","first-page":"379","DOI":"10.1016\/j.automatica.2018.03.074","volume":"93","author":"S Rohou","year":"2018","unstructured":"Rohou, S., Jaulin, L., Mihaylova, L., Le Bars, F., Veres, S.M.: Reliable nonlinear state estimation involving time uncertainties. Automatica 93, 379\u2013388 (2018)","journal-title":"Automatica"},{"key":"32_CR34","doi-asserted-by":"publisher","first-page":"76","DOI":"10.1016\/j.robot.2017.03.020","volume":"93","author":"S Rohou","year":"2017","unstructured":"Rohou, S., Jaulin, L., Mihaylova, L., Le Bars, F., Veres, S.M.: Guaranteed computation of robot trajectories. Robot. Auton. Syst. 93, 76\u201384 (2017)","journal-title":"Robot. Auton. Syst."},{"key":"32_CR35","volume-title":"Probabilistic Robotics","author":"S Thrun","year":"2005","unstructured":"Thrun, S., Bugard, W., Fox, D.: Probabilistic Robotics. MIT Press, Cambridge (2005)"},{"key":"32_CR36","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"635","DOI":"10.1007\/978-3-540-74970-7_45","volume-title":"Principles and Practice of Constraint Programming \u2013 CP 2007","author":"G Trombettoni","year":"2007","unstructured":"Trombettoni, G., Chabert, G.: Constructive interval disjunction. In: Bessi\u00e8re, C. (ed.) CP 2007. LNCS, vol. 4741, pp. 635\u2013650. Springer, Heidelberg (2007). https:\/\/doi.org\/10.1007\/978-3-540-74970-7_45"},{"issue":"1","key":"32_CR37","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1007\/s002080010018","volume":"2","author":"W Tucker","year":"2002","unstructured":"Tucker, W.: A rigorous ODE solver and Smale\u2019s 14th problem. Found. Comput. Math. 2(1), 53\u2013117 (2002)","journal-title":"Found. Comput. Math."},{"key":"32_CR38","doi-asserted-by":"crossref","unstructured":"Voges, R., Wagner, B.: Timestamp offset calibration for an IMU-camera system under interval uncertainty. In: 2018 IEEE\/RSJ International Conference on Intelligent Robots and Systems (IROS), pp. 377\u2013384 (2018)","DOI":"10.1109\/IROS.2018.8594237"},{"issue":"1","key":"32_CR39","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/s00220-002-0709-0","volume":"234","author":"D Wilczak","year":"2003","unstructured":"Wilczak, D., Zgliczynski, P.: Heteroclinic connections between periodic orbits in planar restricted circular three-body problem-a computer assisted proof. Commun. Math. Phys. 234(1), 37\u201375 (2003)","journal-title":"Commun. Math. Phys."}],"container-title":["Lecture Notes in Computer Science","Principles and Practice of Constraint Programming"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-58475-7_32","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,24]],"date-time":"2021-04-24T05:37:07Z","timestamp":1619242627000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-58475-7_32"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020]]},"ISBN":["9783030584740","9783030584757"],"references-count":39,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-58475-7_32","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2020]]},"assertion":[{"value":"2 September 2020","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"CP","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Principles and Practice of Constraint Programming","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Louvain-la-Neuve","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Belgium","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2020","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"7 September 2020","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"11 September 2020","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"26","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"cp2020","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/cp2020.a4cp.org\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Double-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"EasyChair","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"122","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"55","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"0","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"45% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.13","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3.47","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"The conference was held virtually due to the COVID-19 pandemic.","order":10,"name":"additional_info_on_review_process","label":"Additional Info on Review Process","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}